101112000222101 has 8 divisors (see below), whose sum is σ = 110304074764800. Its totient is φ = 91919938099840.

The previous prime is 101112000222097. The next prime is 101112000222109. The reversal of 101112000222101 is 101222000211101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101112000222101 - 2² = 101112000222097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112000222109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24891980 + ... + 28667658.

It is an arithmetic number, because the mean of its divisors is an integer number (13788009345600).

Almost surely, 2^{101112000222101} is an apocalyptic number.

101112000222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112000222101 is a deficient number, since it is larger than the sum of its proper divisors (9192074542699).

101112000222101 is a wasteful number, since it uses less digits than its factorization.

101112000222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6210219.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101112000222101 its reverse (101222000211101), we get a palindrome (202334000433202).

The spelling of 101112000222101 in words is "one hundred one trillion, one hundred twelve billion, two hundred twenty-two thousand, one hundred one".